A couple wants to install a sqaure mirror that has an área Of 500 square inches. To the nearest tenth Of an inch, what lentgth Of wood trim is needed to go around the mirror ?
The square root of 500 is 22.36 inches
22.36 * 4 = ?
89.44
89.44
To find the length of wood trim needed to go around the square mirror, we first need to calculate the length of each side of the mirror.
1. Start by finding the side length (s) of the square mirror. Since the mirror has an area of 500 square inches, we can use the formula for the area of a square: Area = side length ^ 2.
500 = s^2
2. Solve for s by taking the square root of both sides of the equation:
√500 = √(s^2)
√500 = s
Using a calculator, the square root of 500 is approximately 22.4 inches.
3. Since the mirror is a square, all sides have the same length. Therefore, each side of the mirror measures approximately 22.4 inches.
4. To find the length of wood trim needed, we need to calculate the perimeter of the mirror, which is the sum of all four sides.
Perimeter = 4 * side length
Perimeter = 4 * 22.4 inches
Perimeter ≈ 89.6 inches
Therefore, to the nearest tenth of an inch, the length of wood trim needed to go around the mirror is approximately 89.6 inches.